WIGAN LEA NUMERACY STRATEGY Year 6 Maths Sample Test Time allowed 45 minutes Name INSTRUCTIONS Answer all questions Answers should be written in the spaces provided Year 6 KEY OBJECTIVES ASSESSED[.]
Year Maths Sample Test Time allowed: 45 minutes Name: INSTRUCTIONS : Answer all questions Answers should be written in the spaces provided Year KEY OBJECTIVES ASSESSED Order a mixed set of numbers with up to three decimal places Reduce a fraction to its simplest form by cancelling common factors Use a fraction as an operator to find fractions of numbers or quantities (e.g 5/8 of 32, 7/10 of 40, 9/100 of 400 centimetres) Understand percentage as the number of parts in every 100, and find simple percentages of small whole-number quantities Solve simple problems involving ratio and proportion Derive quickly division facts corresponding to multiplication tables up to 10 x 10 Carry out short multiplication and division of numbers involving decimals Carry out long multiplication of a three-digit by a two-digit integer Use a protractor to measure acute and obtuse angles to the nearest degree Calculate the perimeter and area of simple compound shapes that can be split into rectangles Read and plot co-ordinates in all four quadrants Identify and use the appropriate operations (including combinations of operations) to solve word problems involving numbers and quantities, and explain methods and reasoning Solve a problem by extracting and interpreting information presented in tables, graphs and charts Y6 NUMBER Calculate a) Show your working £3.62 x b) £1.36 x c) 348 x 29 Calculate Show your working a) £5.04 ÷ b) 1598 ÷ 34 a) Write out these decimal numbers in order from the lowest to the highest 0.03 1.1 0.217 1.07 2.206 b) What number does the arrow indicate? 3.25 3.26 Put a ring around the fraction which is equivalent to 3 8 20 24 15 Put a ring around the fraction which is equivalent to 40 60 6 Write a fraction in the boxes to complete the sentence < < Write out these quantities in order from lowest to highest 0.5kg 400g ¼kg 0.6kg ⅔kg Calculate ¼ of 36 = of 28 = ⅝ of 32 = of 10 = 35 MONEY AND MEASURE PROBLEMS – NO CALCULATOR pen £ 2.95 CD £ 10.45 Show your working T-shirt £ 5.30 a) How much would a pen and a T-shirt cost? b) How much would three CDs cost? 1 c) How many pens could you buy for £ 20? d) If you bought pens and T-shirts, how much change would you receive from £ 20? 10 PERCY’S SALE All goods reduced by 10% S h o w y o u r w o r k in g Calculate the missing prices: a) Was £60 ………now down to b) Was £ ….now down to £6.30 £ 11 a) b) 12 bars of chocolate cost £ 2.80 What is the cost of each chocolate bar? 20 cans of cola cost £ 9.00 What is the cost of each can? Bob’s cup contains ½ litre of water Jane has one quarter of the amount of water that is in Bob’s cup a) How much water is in Jane’s cup? b)How much water would have to be added to Jane’s cup so that she had the same amount of water as Bob? ml ml 13 This chart shows temperatures recorded at noon for some world cities City Temperature Sydney 28ºC Paris 12.5ºC London 9ºC Oslo 8ºC Moscow -8.5ºC a) Which two cities have a difference in temperature of 21ºC? and b) How much warmer is Oslo than Moscow? ºC HANDLING DATA 14 CLASS Reception Y1 Y2 Y3 Y4 Y5 Y6 TOTAL SCHOOL SURVEY BOYS GIRLS 15 15 17 12 14 15 17 16 ? 13 11 21 18 14 108 ? TOTAL ? 29 29 33 29 32 32 ? a) Complete the chart b) One day one eighth (⅛) of Y6 were absent How many children in Y6 were present? children 15 CURRENCY CHART (currency conversion – Pounds and Hong Kong Dollars 60 50 40 Pounds 30 20 10 100 22 200 300 400 500 600 Dollars £1 can be exchanged for 9.7 dollars a) How many dollars could be exchanged for £50? b) How many pounds could be exchanged for 291 dollars? c) Look at the graph Approximately, how many dollars could be exchanged for £17? 16 Y4 completed a spelling test The test was marked out of 10 The teacher put their results in a graph Results of Spelling Tests NUMBER OF PUPILS 12 10 2 MARKS a) How many pupils did the spelling test? b) Sally said, “ 25 children scored half marks or more” Was she correct? Yes No Explain your answer: 17 a) Look at the Diagram SHAPE AND SPACE -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 The points (-1, 1), (2, 5) and (6, 2) are three of the four vertices of a square Plot the co-ordinates on the grid What are the co-ordinates of the fourth vertex? b) Look at the diagram B (10,12) C ( , ) A (2,3) C is halfway between A and B What are the co-ordinates of C? 18 Tick the shape with only one pair of parallel sides 19 This Shape is rotated through 90 anti-clockwise Tick the shape that shows the new position 20 Use a protractor to measure these angles Tick the shape with an angle of 69 21 10cm 3.5cm 9cm 5.5cm 7cm a) What is the perimeter of the shape? cm b) What is the area of the whole shape? cm² 22 Look at the rectangle 9cm A Area = 72 cm² What is the length of side A? cm SOLVING PROBLEMS USING A CALCULATOR 23 a) 1276 b) c) + - 17 x d) ÷ e) ÷ f) 156.06 47.23 370 13 = 2127 = 237 = 1156 = 154 = 8.67 x = 661.22 24 1827 people buy tickets to watch a rugby match Each ticket costs £ 9.50 What is the total amount of ticket money collected? 25 Programmes cost £ 1.25 each The total money from programme sales is £1096.25 How many programmes were sold? 26 Pencils are 16.4 cm long How many pencils can be cut from a length 20 metres long? 27 Train carriages hold 86 passengers How many carriages would a train need in order to seat 1500 passengers? 28 Pencils weigh 7.3 g each What would be the mass of 580 pencils? 29 Small bags of flour weigh 250g How many bags can be made from 90kg of flour? 30 There are 225 children in a school of them are girls How many boys are there? 31 Joe’s Garage Joe has to add Value Added Tax (VAT) to all bills 20% of the bill is added to pay for VAT Complete the chart below to work out the total bills VEHICLE COST OF WORK VAT CHARGED TOTAL AT 20% BILL Car £ 100 £ 20.00 £ 120.00 Van £ 120 Mini-bus £ 150 Coach £ 190